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The quasinormal modes (QNMs) associated with the decay of massless
arbitrary spin fields around a Schwarzschild black hole are
investigated by using the continued fraction method in a united
form and their universal properties are found. It is shown that
these QNMs become evenly spaced for large angular quantum number
$l$ (for the boson perturbations) and $j$ (for the fermion
perturbations) and the spacing is independent of the spin number
$s$ and overtone number $n$, and in the complex plane they have an
interesting trend which depends on $n$ before they become the same
value with the increasing $l$ (or $j$). It is also shown that the
angular quantum number has the surprising effect of increasing
real part of the QNMs, but it almost does not affect imaginary
part, especially for the lowest lying mode. In addition, the
spacing for imaginary part of the QNMs at high overtones is
equidistant and equals to $-i/4M$, which is independent of $l$ (or
$j$) and $s$. |
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Keywords:Arbitrary spin fields, Quasinormal modes, Schwarzschild black hole |
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